10282545000 has 1120 divisors, whose sum is σ = 45891310080. Its totient is φ = 2099520000.

The previous prime is 10282544891. The next prime is 10282545019. The reversal of 10282545000 is 54528201.

It is a happy number.

10282545000 is a `hidden beast` number, since 102 + 8 + 2 + 54 + 500 + 0 = 666.

10282545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 331694985 + ... + 331695015.

It is an arithmetic number, because the mean of its divisors is an integer number (40974384).

Almost surely, 2^10282545000 is an apocalyptic number.

10282545000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10282545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945655040).

10282545000 is an abundant number, since it is smaller than the sum of its proper divisors (35608765080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10282545000 is an equidigital number, since it uses as much as digits as its factorization.

10282545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10282545000 in words is "ten billion, two hundred eighty-two million, five hundred forty-five thousand".